Answers
Answer:
(0, 3) (3, 0)
Related Questions
Find the area of ABCD. Type the answer in the box below
Answers
Answer:
The Area is 25
Step-by-step explanation:
You will need distance formula for this questions
for AD, (0,4) and (4,7)
The formula is here
[tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
which gives you
[tex]\sqrt{\left(4-0\right)^2+\left(7-4\right)^2} = 5[/tex]
for AB
(0,4),(3,0)
[tex]\sqrt{\left(3-0\right)^2+\left(0-4\right)^2}=5[/tex]
The answer will be 5*5, which is 25
e^In(8) use the properties of natural logarithms to simplify the expression
Answers
[tex]\text{Let,}\\\\~~~~~~~~~y = e^{\ln 8}\\\\\implies \ln y = \ln \left( e^{\ln 8} \right)\\\\\implies \ln y = \ln 8( \ln e)\\\\\implies \ln y = \ln 8\\\\\implies y = 8\\\\\implies e^{\ln 8} = 8\\\\\text{Hence,}~~ e^{\ln 8 } = 8[/tex]
Answer:
8
Step-by-step explanation:
One of the properties of natural logs is that
[tex]e^{lnx} = x\\\\So,\\\\e^{ln8} = 8[/tex]
Simplify the following
(3a 2b ×2a 6b)
Answers
Answer:
3a 2b ×2a 6b = 72a²b² = 72× (ab)²Step-by-step explanation:
3a 2b ×2a 6b = (3 × 2)×(a × b) × (2 × 6)×(a × b) [commutative property]
= (6×ab) × (12×ab) [associative property]
= (6×12) × (ab×ab) [commutative + associative]
= (72) × (ab)²
= 72× (ab)²
= 72a²b² [exponent property]
Joshua has a ladder that is 15 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 14.2 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 78°.
Will the ladder be safe at this height? Show your work and label the diagram to support your answer.
Answers
Yes the ladder be safe at this height.
What is angle of elevation?The angle formed by the line of sight and the horizontal plane for an object above the horizontal.
Given:
ladder = 15 ft long.
top of the ladder is 14.2 ft above the ground.
Using trigonometry,
sin x = 14.2/15
sin x = 0.947
x= 71.262°
As, 78 > 71.262°
Hence, it would be safe to use the ladder of 15 ft long.
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Draw the graph of the equation 2x+3y-6=0 and determine from the graph whether x=3, y=0 is a solution or not. Also from the graph, find the value of x when y=4.
Answers
The elimination method is the process of removing the variable from the system of equations, whereas the substitution method is the process of replacing a variable with a value to find the solution for the system of equations.
2. SUBSTITUTION METHOD :For instance, the system of two equations with two unknown values, the solution can be obtained by using the below steps. Here, the list of steps is provided to solve the linear equation. They are
Simplify the given equation by expanding the parenthesisSolve one of the equations for either x or ySubstitute the step 2 solution in the other equationNow solve the new equation obtained using elementary arithmetic operationsFinally, solve the equation to find the value of the second variableNEED HELP
(8.02-8.05)
Solve the systems of equations below using the method indicated in each part of the table. Be sure to show ALL your work for each method in order to get full points! (15 points)
Answers
The solutions to the systems of equations are:
1. (2, 3) (see attachment below). [one solution]
2. no solution
3. (3, 13) [one solution]
Solution to a System of Equations?The solution to a system of equations is the x-value and y-value that will make both equations true. It can be found either using a graph, by elimination method, or substitution method as explained below.
1. Using graph to solve y = 2x - 1 and y = 4x - 5:
The solution is the point where both lines intersect which is: (2, 3) (see attachment below). [one solution]
2. Solving using substitution method:
x = -5y + 4 ---> eqn. 1
3x + 15y = -1 ---> eqn. 2
Substitute x = -5y + 4 into eqn. 2
3(-5y + 4) + 15y = -1
-15y + 12 + 15y = -1
-15y + 15y = -1 - 12
0 = -13 (this shows that there is no solution)
3. Using elimination method:
14x = 2y + 16 ---> eqn. 1
5x = y + 2 ---> eqn. 2
1(14x = 2y + 16)
2(5x = y + 2)
14x = 2y + 16 ----> eqn. 3
10x = 2y + 4 -----> eqn. 4
Subtract
4x = 12
x = 12/4
x = 3
Substitute x = 3 into eqn. 2
5(3) = y + 2
15 = y + 2
15 - 2 = y
13 = y
y = 13
The solution is: (3, 13).
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The table contains data for six students in a running club: time run in minutes, x, and the corresponding average speed in mph, y.
A 2-column table with 6 rows. Column 1 is labeled x with entries 25, 28, 30, 31, 33, 40. Column 2 is labeled y with entries 7.5, 6, 5.5, 5, 4.5, 4.5.
The regression line shows a:
negative trend line with a strong relationship.
negative trend line with a weak relationship.
positive trend line with a strong relationship.
positive trend line with a weak relationship.
Answers
Finding the correlation coefficient, it is found that the regression line shows a:
negative trend line with a strong relationship.
What is a correlation coefficient?It is an index that measures correlation between two variables, assuming values between -1 and 1.If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.Inserting the values of a table, the x-values as 25, 28, 30, 31, 33, 40, and the y-values as 7.5, 6, 5.5, 5, 4.5, 4.5, the coefficient is of -0.85, which is negative and strong.
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Inserting the values of a table, the x-values as 25, 28, 30, 31, 33, 40, and the y-values as 7.5, 6, 5.5, 5, 4.5, 4.5, the coefficient is -0.85,
The table contains data for six students in a running club: time run in minutes, x, and the corresponding average speed in mph, y.
Finding the correlation coefficient, it is found that the regression line shows a: negative trend line with a strong relationship.
What is a correlation coefficient?It is an index that measures the correlation between two variables, assuming values between -1 and 1.
If it is positive, the relationship is positive, that is, they are directly proportional. If it is negative, they are inversely proportional.
If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.
Inserting the values of a table, the x-values as 25, 28, 30, 31, 33, 40, and the y-values as 7.5, 6, 5.5, 5, 4.5, 4.5, the coefficient is -0.85, which is negative and strong.
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will give brainliest
geometry
50 points
Answers
The perimeter of the composite figure shown in the figure is equal to 5 · [2 + √2 · (1 + √5)] units (approx. 32.882 units) and the total area is 33.5 square units.
How to determine the perimeter and the area of a composite figure
In this case we have a composite figure formed by six triangles and two rectangles. The perimeter is the sum of the side lengths and the area is the sum of the areas of the triangles and rectangles. The perimeter of the entire figure is described below:
p = AB + BC + CD + DE + EF + FG + GA
p = 5√2 + √10 + √10 + 5 + √10 + 5 + 2√10
p = 10 + 5√2 + 5√10
p = 10 + 5 · (√2 + √10)
p = 10 + 5√2 · (1 + √5)
p = 5 · [2 + √2 · (1 + √5)]
And the area of the composite figure is determined by the following expression:
A = 0.5 · (3) · (1) + (3) · (4) + 0.5 · (3) · (1) + 0.5 · (3) · (1) + 0.5 · (3) · (1) + (3) · (2) + 0.5 · (7) · (1) + 0.5 · (6) · (2)
A = 2 · (3) · (1) + (3) · (4) + (3) · (2) + 0.5 · (7) · (1) + 0.5 · (6) · (2)
A = 33.5
The perimeter of the composite figure shown in the figure is equal to 5 · [2 + √2 · (1 + √5)] units (approx. 32.882 units) and the total area is 33.5 square units.
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pls help would be appreciated
Answers
Answer:
Step-by-step explanation:
for 1
area=2x×3x=6x²
for 2
l=3x+2x=5x
b=2x
area=5x×2x=10x²
total area=6x²+10x²=16x²
ASAP! HELP!!!
2. Quadrilateral PQRS is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show all your work.
Answers
The measure of each of the angles ∠P,∠Q,∠R, ∠S are 45°,72°,135° and 98° respectively.
What is quadrilateral ?A quadrilateral is a polygon having four sides. The measure of the opposite angle of quadrilateral inside circle is 180°.
From the figure:
∠P=x+15
∠Q=3x-8
∠R=?
∠S=3x+8
∠Q+∠S=180
3x-8+3x+8=180
6x=180
x=30°
∠P+∠R=180°
x+15+∠R=180
30+15+∠R=180
∠R=180-45
∠R=135°
∠P=30+15=45
∠Q=3x-8=3(30)-8=72
=135
∠S=3x+8=3(30)+8=98
Hence,the measure of each of the angles ∠P,∠Q,∠R, ∠S are 45°
,72°,135° and 98°.
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Pi/6 is the reference angle for:
A 13pi/6
B 5pi/6
C 3pi/6
D 8pi/6
Check all that apply
Answers
To get the reference angle π/6 for the given angles we will check each angle given in the options.
A. 8π/6
Since 8π/6 means 240° which lies in 3rd quadrant. Therefore reference angle of 240°= 240-180 = 60° or π/3
B. 13π/6
13π/6 means 390° which lies in first quadrant.
Therefore reference angle = 390-360 = 30° or π/6
C. 3π/6
Since 3π/6 means 90° therefore reference angle of 90° is the same as 90°.
Or the reference angle is = π/2
D. 5π/6
5π/6 means angle is 150° which lies in second quadrant therefore reference angle of 150° = 180-150 = 30° or π/6
answer is Option B and D.
y=-3³ +4
step by step of the rules and formula of this equation
Answers
Step-by-Step Explanation:
=> y = -3^3 + 4
Therefore,
= y = -3^3 + 4
= -(3^3) + 4
= -(3 * 3 * 3) + 4
= -(27) + 4
= -27 + 4
= -23
Which represents the solution(s) of this system of equations?
(4, 4)
(–4, –12)
(4, 4) and (–4, 12)
(–4, 4) and (4, 12)
Answers
The solution to the given system of equation is (4, 4)
Factorizing quadratic functionsFrom the solved steps, the final quadratic functions is given as;
x^2 - 8x + 16 = 0
Factorize to have;
x^2 - 4x - 4x + 16 = 0
x(x-4)-4(x-4) = 0
(x-4)(x-4) = 0
x = 4 and 4
Hence the solution to the given system of equation is (4, 4)
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I have 23 hundredths and 12 tenths. Who am I? Convince by using Base 10 Blocks
Answers
Answer:
1.43
Step-by-step explanation:
12 tenths ⇒ 1.2
23 hundredths ⇒ 0.23
0.23 + 1.2 = 1.43
What is the solution to this equation?
X/-3=-6
A. x = -2
x|
OB. x=2
OC. x = 18
OD. x= -18
Answers
Answer:
Choice C
Step-by-step explanation:
Given equation,
X/-3=-6To Find:
value of xSolution:
=>x/-3=-6
Transpose 3 from LHS to RHS,make sure to change the sign from ÷ to *.
=>x = -6*-3
=>x = 18
Hence, the value of x is 18.
Choice C is correct & accuratewhat is common ratio? 1,-1.5,2.25,-3.375
Answers
The common ratio of the sequence is -1.5
How to determine the common ratio?The sequence is given as:
1,-1.5,2.25,-3.375
Divide the second term by the first to determine the common ratio (r)
r = T2/T1
This gives
r = -1.5/1
Evaluate
r = -1.5
Hence, the common ratio of the sequence is -1.5
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Carlos invests $4540 at a rate of r% per year compound interest.
At the end of 10 years he has earned $1328.54 in interest.
Calculate the value of r.
Answers
Answer:
Initial balance$1000
interest rate 8%
Term 20yrs
Step-by-step explanation:
The final balance is $4,926.8.The total compound interest is $3,926.8.
The value of r is 2 %.
What is simple & compound interest?Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.
Given:
Principal(P)= $4540
Rate = ?
Time=10 years
CI=$1328.54
We have to find the value of r.
According to given question we have
By the use of compound interest we have
[tex]CI=p((1+\frac{r}{100} )^{10} -1)\\\\1328.54 =4540 ((1+\frac{r}{100} )^{10} -1)\\\\\0.292= ((1+\frac{r}{100} )^{10} -1)\\[/tex]
After simplifying we get,
r=2 %
Therefore, the value of r is 2 %.
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Hola alguien me podría ayudar con este problema :< porfa
Answers
Answer:
8= 24b
8/8=24b/8
b=3
Step-by-step explanation:
Based on my own learning
Pls help me with my math
Answers
Answer:a
Step-by-step explanation:Bottom line includes the end point so should be less than or equal. Top line does not so should be greater than
If f(x) = 2x² +5 and g(x)=x2-2, find (f-g)(x).
A. x^2+3
B. 3x^2+3
C. 3x^2+7
D. x^2+7
Answers
Answer:D. x^2+7
Step-by-step explanation:
If f(x) = 2x² +5 and g(x)=x2-2, find (f-g)(x).A. x^2+3B. 3x^2+3C. 3x^2+7D. x^2+7
Please Help
Use the probability distribution table to answer the question.
X / P
0 / 0.03
1 / 0.13
2 / 0.70
3 / 0.10
4 / 0.04
What is P(2
Answers
Considering the given discrete probability distribution, it is found that [tex]P(2 < X \leq 4) = 0.14[/tex].
What does the discrete probability distribution gives?It give the probability of each outcome, and each outcome is represented by a countable number.
The desired probability is:
[tex]P(2 < X \leq 4) = P(X = 3) + P(X = 4)[/tex]
As there is an open interval at X = 2, it does not enter the calculation. The values are:
P(X = 3) = 0.1.P(X = 4) = 0.04.Hence:
[tex]P(2 < X \leq 4) = P(X = 3) + P(X = 4) = 0.1 + 0.04 = 0.14[/tex]
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according to the graph what is the value of the constant in the equation below
Answers
Answer:
6
Step-by-step explanation:
hope it helps
name the marked angle two different ways
Answers
tbh I have no Idea ask your mother
7. What are the x- and y-intercepts for -x + 2y = 8?
O
A. x-intercept =-8; y-intercept = 4
O
B. x-intercept = 4; y-intercept = 8
O
C. x-intercept = 4; y-intercept = -8
O D. x-intercept = 8; y-intercept = -4
Answers
Answer:
the answer
Step-by-step explanation:
the answer is A
Help PLS ASAP!!!!!!!!!!!!
Answers
Answer:
The answer is
" THe middle triangle is scalene"
and "the right and left triangle are isosceles"
Step-by-step explanation:
This is because B, and D are wrong.
B is wrong because all three sides are different lengths
D is wrong because the right and left triangles are not equalateral
give brainliest please!
hope this helps :)
The right and left triangles are isosceles
círculo de diámetro de 9 cm calcular radio perímetro y area doy corona
Answers
Answer:
Radio
r=4.5cm
Area
63.62cm2
Perímetro
C≈28.27cm
• (4,0)
•(0,4)
•(1,3)
•(3,1)
Answers
Answer:
The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Step-by-step explanation:
find the length of the third side round to the nearest tenth if needed . 24 10
Answers
Answer:
the length of the third side is 26
Step-by-step explanation:
By Pythagoras theorem
AC² = AB² + BC²
AC² = 10² + 24²
AC² = 100 + 576
AC² = 676
AC = √676
AC = 26
This figure represents a small collectible box. Vicki wants to cover 45 of the surface with glitter.
How much of the total surface will be covered with glitter?
Enter your answer as a decimal or mixed number in simplest form in the box.
cm²
Right trapezoidal prism. The height of the trapezoid base is labeled 4 centimeters. The larger base is labeled 6 and 1 half centimeters, and the shorter base is 5 and 1 fourth centimeters. The two legs of the trapezoid are labeled 4 centimeters and 4 and 1 fifth centimeters. The height of the prism is labeled 9 centimeters.
PLease helpppp!! only have 2 minutesd
Answers
Answer:
181.24
Step-by-step explanation:
The total surface area of the Trapezoidal Prism to be covered is: 181.24 cm².
What is the Surface Area of a Trapezoidal Prism?Surface Area = 2(area of trapezoid) + area of the 4 rectangular faces.
Area of Rectangle 1 = length × width = 9 × 4 = 36 cm²
Area of Rectangle 2 = length × width = 9 × 5 1/4 = 47.25 cm²
Area of Rectangle 3 = length × width = 9 × 4 1/5 = 37.8 cm²
Area of Rectangle 2 = length × width = 9 × 6 1/2 = 58.5 cm²
Area of the two trapezoids = 2[1/2(a + b)h] = 2[1/2(6½ + 5¼)4] = 47 cm²
Surface area = 36 + 47.25 + 37.8 + 58.5 + 47 = 226.55 cm²
Total surface that will be covered = 4/5(226.55) = 181.24 cm²
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Simplify the expression (7 + 9i)(8 - 10i)
Answers
The simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i
How to simplify the expression?The expression is given as:
(7 + 9i)(8 - 10i)
Expand the bracket
7 * 8 + 9i * 8 -7 * 10i - 9i * 10i
Evaluate the products
56 + 72i -70i - 90(i²)
Evaluate the difference
56 + 2i - 90(i²)
In complex numbers;
i² = -1
So, we have:
56 + 2i - 90(-1)
Evaluate
56 + 2i + 90
Add the like terms
146 + 2i
Hence, the simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i
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